Work

Fast Rigid Alignment of Heterogeneous Images in Sliced Wasserstein Distance

Year: 2026

Type: article

Abstract: . Many applications of computer vision rely on the alignment of similar but nonidentical images. We present a fast algorithm for aligning heterogeneous images based on optimal transport. Our approach combines the speed of fast Fourier methods with the robustness of sliced probability metrics and allows us to efficiently compute the alignment between two [Formula: see text] images using the sliced 2-Wasserstein distance in [Formula: see text] operations. We show that our method is robust to translations, rotations, and deformations in the images.

Source: SIAM Journal on Imaging Sciences

DOI: 10.1137/25m1742916

Authors: Yunpeng Shi, Amit Singer, Eric J. Verbeke

Institutions: University of California, Davis, Princeton University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green